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e Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three...

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Advance Math

e Elixer Drug Company produces a drug from two ingredients. Eachingredient contains the same three antibiotics, in differentproportions. One gram of ingredient 1 contributes 3 units, and 1gram of ingredient 2 contributes 1 unit of antibiotic 1; the drugrequires 6 units. At least 4 units of antibiotic 2 are required,and the ingredients contribute 1 unit each per gram. At least 12units of antibiotic 3 are required; a gram of ingredient 1contributes 2 units, and a gram of ingredient 2 contributes 6units. The cost for a gram of ingredient 1 is $80, and the cost fora gram of ingredient 2 is $50. The company wants to formulate alinear programming model to determine the number of grams of eachingredient that must go into the drug to meet the antibioticrequirements at the minimum cost.

  1. Formulate a linear programming model for this problem.

  2. make a table

  3. Find critical points & evaluate the critical points

  4. find the regions

  5. Solve this model by using graphical analysis

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